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Write the number of edges, faces, and vertices of the cube, cuboid, cone, cylinder, sphere, triangular pyramid, rectangular, and prism.
Solution:
The cube, cuboid, cone, cylinder, sphere, triangular pyramid, rectangular, and prism are examples of 3-dimensional solids.
Solids or three-dimensional objects have 3 dimensions, namely length, breadth, and height. Solid shapes have faces, edges, and vertices.
As a result of these three dimensions(l, b, h), these solid shapes and objects have faces, edges, and vertices. Let's understand these three in detail.
For example:
Solid Shapes | Faces | Edges | Vertices |
Definition | A face refers to any single flat surface of a solid object. | An edge is a line segment on the boundary joining one vertex (corner point) to another. | The point of intersection of edges denotes the vertices. |
1 |
0 | 0 | |
Cylinder |
3 |
2 | 0 |
Cone |
2 |
1 | 1 |
Cube |
6 |
12 | 8 |
Cuboid |
6 |
12 | 8 |
Triangular Prism |
5 | 9 | 6 |
Pentagonal Prism |
7 | 15 | 10 |
Hexagonal Prism |
8 | 18 | 12 |
Square Pyramid |
5 | 8 | 5 |
4 |
6 | 4 | |
Pentagonal Pyramid |
6 | 10 | 6 |
Hexagonal Pyramid |
7 | 12 | 7 |
Thus, we have seen the number of edges, faces, vertices of regular 3D solids.
Write the number of edges, faces, and vertices of the cube, cuboid, cone, cylinder, sphere, triangular pyramid, rectangular, and prism.
Summary:
The number of edges, faces, and vertices of the cube, cuboid, cone, cylinder, sphere, prisms, and pyramids are given in the tabular form above.
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